【题目】(Calculator) T he function ; is continuous and differentiable on (0,2) with f" (x) 0 for all x in the interval (0,2). Some of the points on the gr aph are shown below.Which of the following is the best approrimati on for f'(1)? ( ) A. f'(1)2 B. 0.5f'(1...
Answer to: Find all values of x for which function is differentiable.y=\ln x^{2},x \neq 0 By signing up, you'll get thousands of step-by-step...
A function is always continuous if it is differentiable at any point, whereas the vice-versa for this condition is not always true. Integral Calculus Integral calculus is the study of integrals and the properties associated to them. It is helpful in: calculating f from f’ (i.e. from its ...
At what numbers is the following function g differentiable?g(x)=\begin{cases} 2x & \text{ if } x\leqslant 0 \\ 2x-x^{2} & \text{ if } 0<x<2 \\ 2-x & \text{ if }x\geqslant 2 \end{cases}Give a formula f What is binary system?
use a non-uniform set of coordinates (e.g. "r" and "theta") that are at least C-4 differentiable functions of X1,X2 (see bl_coord() in coord.c). Further, the user may specify any regular metric (arbitrary excision is not implemented) at compile-time in gcov_func() [coord.c]....
Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 1, \; f'(1) = -3, \; g(1) = 2, and g'(1) = 5. If h(x)=f(x)g(x), find h'(1). Given the function f(x)=15+8x-x^4 , a) Find f''(x) b) Wh...
The locally linear approximation of the differentiable function f at x = 2 is used to approximate the value of f ( 2.3 ) . The approximation at x = 2.3 is an underestimate of the corresponding function value. What do we know about the graph f ( x ...
The theorem says iff(x)is continuous on[a,b]and differentiable on(a,b)then there existsc∈(a,b)wheref(b)−f(a)=f′(c)(b−a). Note that we use this result for differentiable functions only. Answer and Explanation:1 We are asked to prove the ineq...
Answer to: It is fact that the function f(x)=(1+x)^{\frac{1}{x}} has a limiting value. Use a table of values to estimate the limiting value. By...
Let's say we have the product of two functions f(x) and g(x) which are differentiable functions. Upon differentiating the product of the functions with respect to x, we get: y′=ddxf(x)g(x) By using the product of differentiation, we get: y′=f′(x)g(x)+f(x)...